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Post New Question
All Questions
+0
236712 Questions
0
1
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+1016
Geometry
In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?
AnswerscorrectIy
Feb 1, 2025
0
1
0
+1016
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11
AnswerscorrectIy
Feb 1, 2025
Jan 31, 2025
0
1
1
+216
Counting
A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3,
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BRAlNBOLT
Jan 31, 2025
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1
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+216
Counting
At a meeting, four scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the mathematicians must sit next to each other? (Two seatings are considered equivalent if
read more ..
BRAlNBOLT
Jan 31, 2025
0
1
0
+216
Counting
Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if
read more ..
BRAlNBOLT
Jan 31, 2025
0
1
1
+641
Algebra
Let a1, a2, a3, ... be an arithmetic sequence. Let Sn denote the sum of the first n terms. If S_5 = 1/5 and S_10 = 1/10, then find S_15.
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crimefightingvigiI
Jan 31, 2025
0
1
1
+641
Algebra
Let a1, a2, a3, ..., a10 be an arithmetic series. If a1 + a3 = -2 and a2 + a4 + a6 = 1, then find a1.
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crimefightingvigiI
Jan 31, 2025
0
1
0
+641
Algebra
Laverne starts counting out loud by 5's. She starts with 2. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 100, Shirley runs screaming from the room. What number does Laverne say that sends
read more ..
crimefightingvigiI
Jan 31, 2025
0
1
0
+641
Algebra
Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.
crimefightingvigiI
Jan 31, 2025
0
2
1
+4
I NEED HELP!!!!
Can somone help me!
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Ehaten
Jan 31, 2025
Jan 30, 2025
0
1
0
+1016
Geometry
In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $2,$ and the area of triangle $RSX$ is $2.$ Find the area of trapezoid
read more ..
AnswerscorrectIy
Jan 30, 2025
0
1
0
+1016
Geometry
Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.
AnswerscorrectIy
Jan 30, 2025
+1
1
2
+5
how to determine shape of conic equation?
from a general conic equation (ax^2+by^2+cx+dy+e), how would I determine whether it is a circle, ellipse, parabola, or hyperbola? i just want to know so i can solve a string of questions with varying equations.
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taboo
Jan 30, 2025
0
2
1
+448
Geometry
In triangle ABC, angle ACB = 90 degrees. Let H be the foot of the altitude from C to side AB.
If BC = 1 and AH = 2, find CH.
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MEMEG0D
Jan 30, 2025
0
2
0
+448
Geometry
In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.
MEMEG0D
Jan 30, 2025
0
1
0
+4
Algebra
(n(1) + n(0)) * 20.62625
dluc2
Jan 30, 2025
0
1
0
+1633
Geometry
Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1
blackpanther
Jan 30, 2025
0
1
1
+1633
Geometry
Chords UV, WX, and YZ of a circle are parallel. The distance between chords UV and WX is 1, and the distance between chords WX and YZ is also 1. If UV =6 and YZ = 4, then find WX.
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blackpanther
Jan 30, 2025
0
1
0
+1633
Geometry
A circle is inscribed in a quarter-circle, as shown below. If the radius of the quarter-circle is $4,$ then find the radius of the circle.
blackpanther
Jan 30, 2025
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